_Cube
cache
probes
normp
rnn
dump
maxSides
k
poles # list of pole ids
l     # left point on pole i
r     # right point on pole i
a     # a vals for pole i (distance to left)
b     # b vals for pole i (distance to right)
c     # c val for pole i
x     # 
y
lhs    # left most point on pole i
rhs   # right most point on pole i
err   # error
corners # the corners selected so far
sorted # x-items,sorted
